A population grows according to the formula P(t) = 500 * e^(0.04t), where t is the number of years. Approximately what will the population be after 10 years?

A 520

B 746

C 1000

D 2718

✓ Correct Answer: Option B

Substitute t=10 into the formula: P(10) = 500 * e^(0.04*10) = 500 * e^(0.4). Using e^0.4 ≈ 1.4918, P(10) ≈ 500 * 1.4918 = 745.9. The closest option is 746.

💡 Why is B) the correct answer?

The correct answer to the question "A population grows according to the formula P(t) = 500 * e^(0.04t), where t is the number of years. Approximately what will the population be after 10 years?" is Option B: 746.

The other options — A) 520, C) 1000, D) 2718 — are incorrect for this CLEP Exam Prep question. As explained above: Substitute t=10 into the formula: P(10) = 500 * e^(0.04*10) = 500 * e^(0.4). Using e^0.4 ≈ 1.4918, P(10) ≈ 500 * 1.4918 = 745.9. The closest option is 746.

📚 About This CLEP Exam Prep Practice Question

This 3-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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A population grows according to the formula P(t) = 500 * e^(0.04t), where t is the number of years. Approximately what will the population be after 10 years?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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